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380165043252 = 2232331136132647
BaseRepresentation
bin1011000100000111001…
…10100011010000110100
31100100021100121011112010
411202003212203100310
522212034222341002
6450351224124220
736315562356531
oct5420346432064
91310240534463
10380165043252
1113725528a865
1261818606670
1329b071cb847
1414585b9dd88
159d503ce46c
hex58839a3434

380165043252 has 96 divisors (see below), whose sum is σ = 956209250304. Its totient is φ = 117212198400.

The previous prime is 380165043233. The next prime is 380165043257. The reversal of 380165043252 is 252340561083.

It is a happy number.

It is a super-2 number, since 2×3801650432522 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 380165043252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380165043257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11628393 + ... + 11661039.

It is an arithmetic number, because the mean of its divisors is an integer number (9960513024).

Almost surely, 2380165043252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380165043252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478104625152).

380165043252 is an abundant number, since it is smaller than the sum of its proper divisors (576044207052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

380165043252 is a wasteful number, since it uses less digits than its factorization.

380165043252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34069 (or 34067 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 380165043252 in words is "three hundred eighty billion, one hundred sixty-five million, forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 1361 1426 2139 2722 2852 4083 4278 5444 8166 8556 16332 31303 32647 42191 62606 65294 84382 93909 97941 125212 126573 130588 168764 187818 195882 253146 375636 391764 506292 750881 970393 1012057 1501762 1940786 2024114 2252643 2911179 3003524 3036171 3881572 4048228 4505286 5822358 6072342 9010572 11644716 12144684 23277311 44432567 46554622 69831933 88865134 93109244 133297701 139663866 177730268 266595402 279327732 533190804 1021949041 1377409577 2043898082 2754819154 3065847123 4087796164 4132228731 5509638308 6131694246 8264457462 12263388492 16528914924 31680420271 63360840542 95041260813 126721681084 190082521626 380165043252